On Q-derived polynomials
It is known that Q-derived univariate polynomials (polynomials defined over Q, with the property that they and all their derivatives have all their roots in Q) can be completely classified subject to two conjectures: that no quartic with four distinct roots is Q-derived, and that no quintic with a t...
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| Format: | Journal article |
| Language: | English |
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2001
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| _version_ | 1797098140983099392 |
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| author | Flynn, E |
| author_facet | Flynn, E |
| author_sort | Flynn, E |
| collection | OXFORD |
| description | It is known that Q-derived univariate polynomials (polynomials defined over Q, with the property that they and all their derivatives have all their roots in Q) can be completely classified subject to two conjectures: that no quartic with four distinct roots is Q-derived, and that no quintic with a triple root and two other distinct roots is Q-derived. We prove the second of these conjectures. |
| first_indexed | 2024-03-07T05:05:25Z |
| format | Journal article |
| id | oxford-uuid:d9c02cee-a27c-42db-87f8-7c789f09a211 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T05:05:25Z |
| publishDate | 2001 |
| record_format | dspace |
| spelling | oxford-uuid:d9c02cee-a27c-42db-87f8-7c789f09a2112022-03-27T08:58:09ZOn Q-derived polynomialsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d9c02cee-a27c-42db-87f8-7c789f09a211EnglishSymplectic Elements at Oxford2001Flynn, EIt is known that Q-derived univariate polynomials (polynomials defined over Q, with the property that they and all their derivatives have all their roots in Q) can be completely classified subject to two conjectures: that no quartic with four distinct roots is Q-derived, and that no quintic with a triple root and two other distinct roots is Q-derived. We prove the second of these conjectures. |
| spellingShingle | Flynn, E On Q-derived polynomials |
| title | On Q-derived polynomials |
| title_full | On Q-derived polynomials |
| title_fullStr | On Q-derived polynomials |
| title_full_unstemmed | On Q-derived polynomials |
| title_short | On Q-derived polynomials |
| title_sort | on q derived polynomials |
| work_keys_str_mv | AT flynne onqderivedpolynomials |